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2123000001 = 3217311572851
BaseRepresentation
bin111111010001010…
…0110100011000001
312110221210120111200
41332202212203001
513321442000001
6550355131413
7103416126243
oct17642464301
95427716450
102123000001
1199a418361
124b2ba3b69
1327aab1925
14161d56093
15c65ac086
hex7e8a68c1

2123000001 has 48 divisors (see below), whose sum is σ = 3374212608. Its totient is φ = 1280448000.

The previous prime is 2122999961. The next prime is 2123000003. The reversal of 2123000001 is 1000003212.

It is a happy number.

It is not a de Polignac number, because 2123000001 - 27 = 2122999873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2123000003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743226 + ... + 746076.

It is an arithmetic number, because the mean of its divisors is an integer number (70296096).

Almost surely, 22123000001 is an apocalyptic number.

It is an amenable number.

2123000001 is a deficient number, since it is larger than the sum of its proper divisors (1251212607).

2123000001 is a wasteful number, since it uses less digits than its factorization.

2123000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2123000001 is about 46076.0241448847. The cubic root of 2123000001 is about 1285.2373306385.

Adding to 2123000001 its reverse (1000003212), we get a palindrome (3123003213).

The spelling of 2123000001 in words is "two billion, one hundred twenty-three million, one", and thus it is an aban number.

Divisors: 1 3 9 17 31 51 93 153 157 279 471 527 1413 1581 2669 2851 4743 4867 8007 8553 14601 24021 25659 43803 48467 82739 88381 145401 248217 265143 436203 447607 744651 795429 1342821 1502477 4028463 4507431 7609319 13522293 13875817 22827957 41627451 68483871 124882353 235888889 707666667 2123000001